Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Adapted to the Course of Mathematical Instruction in the United States |
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Page 14
... angles equal . The first line is then said to be perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the adjacent angles unequal . Oblique angles are subdivided into two ...
... angles equal . The first line is then said to be perpendicular to the second . 13. An OBLIQUE ANGLE is formed by one straight line meeting another so as to make the adjacent angles unequal . Oblique angles are subdivided into two ...
Page 15
... equal . An EQUIANGULAR POLYGON is one whose angles are all equal . A REGULAR POLYGON is one which is both equilateral and equiangular . 21. Two polygons are mutually equilateral , when their sides , taken in the same order , are equal ...
... equal . An EQUIANGULAR POLYGON is one whose angles are all equal . A REGULAR POLYGON is one which is both equilateral and equiangular . 21. Two polygons are mutually equilateral , when their sides , taken in the same order , are equal ...
Page 16
... equal to the first side of the other , the second side of the one to the second side of the other , and so on . 22. Two polygons are mutually equiangular , when their angles , taken in the same order , are equal , each to each . 23. A ...
... equal to the first side of the other , the second side of the one to the second side of the other , and so on . 22. Two polygons are mutually equiangular , when their angles , taken in the same order , are equal , each to each . 23. A ...
Page 20
... equal to two right angles . Let DC meet AB at C : then is the sum of the angles DCA and DCB equal to two right an- gles . At C , let CE be drawn perpen- dicular to AB ( Post . 6 ) ; then , by definition ( D. 12 ) , the angles ECA E and ...
... equal to two right angles . Let DC meet AB at C : then is the sum of the angles DCA and DCB equal to two right an- gles . At C , let CE be drawn perpen- dicular to AB ( Post . 6 ) ; then , by definition ( D. 12 ) , the angles ECA E and ...
Page 21
... angles EAB and EAF ; which , from the proposition just demonstrated , is equal to two right angles . DEFINITIONS . If two straight lines intersect each other , they form four angles about the point of intersection , which have received ...
... angles EAB and EAF ; which , from the proposition just demonstrated , is equal to two right angles . DEFINITIONS . If two straight lines intersect each other , they form four angles about the point of intersection , which have received ...
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Common terms and phrases
AB² ABCD AC² adjacent angles altitude angles is equal apothem base and altitude bisects centre chord circle circumference circumscribed cone consequently convex surface corresponding Cosine Cotang cylinder denote diagonals diameter distance divided draw drawn edges equally distant equilateral feet find the area formula frustum given angle given line given point greater hence homologous hypothenuse included angle interior angles intersection less Let ABC logarithm lower base mantissa mean proportional measured by half number of sides parallel parallelogram parallelopipedon perimeter perpendicular plane angles plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solution sphere spherical angle spherical polygon spherical triangle square Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence